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Oksanka [162]
3 years ago
8

CAN SOMEONE HELP REALLY QUICK?

Mathematics
1 answer:
attashe74 [19]3 years ago
8 0
204 in^3 
Hope this helps! :)
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Which equation is equivalent to 2/3x-5/6=-5/12x+1/4
umka21 [38]

Answer:

x = 1

Step-by-step explanation:

\frac{2}{3} x -  \frac{5}{6}  =  -  \frac{5}{12} x +  \frac{1}{4}  \\  \frac{2}{3}x +  \frac{5}{12}  x =  \frac{1}{4}  +  \frac{5}{6}  \\  \frac{8}{12} x +  \frac{5}{12}x =  \frac{3}{12}  +  \frac{10}{12}  \\  \frac{13}{12} x =  \frac{13}{12}  \\ x = 1

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3 years ago
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Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id
Thepotemich [5.8K]

\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

Explanation

\frac{1}{a+bi}=c+di

Step 1

multiplicate by the conjugate

\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}

notice that

\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\  \end{gathered}\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

I hope this helsp you

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Step-by-step explanation: do you have any choices


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If sqrt x = 9 then x = 9*9 = 81

Answer is  between 80 and 90.
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